a. Find a Trapezoid Rule approximation to 1 dx0 0 (Round to six decimal places as needed.) Sex 0 dx using n = 80 subintervals.
a. Find a Trapezoid Rule approximation to 1 dx0 0 (Round to six decimal places as needed.) Sex 0 dx using n = 80 subintervals.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Refer to the following theorem and let f(x) = ex*. To answer parts a through d, assume that f'"' is continuous on the interval [a,b] and that k is real number such that f''(x)| ≤k, for all x in [a,b]. The
b
-(4x)².
absolute error in approximating the integral f(x) dx by the Trapezoid Rule with n subintervals, where Ax=
f₁(x)
a. Find a Trapezoid Rule approximation to
1
dx
0
(Round to six decimal places as needed.)
0
x4
dx using n = 80 subintervals.
b-a
n
, satisfies the inequality ET S
k(b-a)
12](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F844281c0-c621-44a5-8564-9e61584c69dd%2F25867062-a6b8-41b5-a192-4d52cdc1d694%2Fm7mo79_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Refer to the following theorem and let f(x) = ex*. To answer parts a through d, assume that f'"' is continuous on the interval [a,b] and that k is real number such that f''(x)| ≤k, for all x in [a,b]. The
b
-(4x)².
absolute error in approximating the integral f(x) dx by the Trapezoid Rule with n subintervals, where Ax=
f₁(x)
a. Find a Trapezoid Rule approximation to
1
dx
0
(Round to six decimal places as needed.)
0
x4
dx using n = 80 subintervals.
b-a
n
, satisfies the inequality ET S
k(b-a)
12
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